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Math Help - probability problem

  1. #1
    hisweety19
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    Post probability problem

    The arrival of trucks on a receiving dock is a Poisson process with a mean arrival rate of two per hour.
    (a) Find the probability that exactly 6 trucks arrive in a two-hour period.
    (b) Find the probability that the time between two successive arrivals will be more than 3 hours.


    Please help me in solving the above problem!!!!

    Thanks!!
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  2. #2
    MHF Contributor
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    Poisson Probabilities are a matter of plugging into the formula.

    \lambda\;=\;2\;per\;hour
    n = 6/2 hours = 3 per hour

    Calculate it. Let's see what you get.

    For the second, Poisson Wait Times are Exponential. Let's see what you get.
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  3. #3
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    I have a nearly identical question to this, for part (b) since the inter-arrival times are exponentially distributed would it be:

    \lambda = 2(3) = 6 for your rate, then you would have:

    \int_3^\infty \lambda e^{-\lambda t} dt = \int_3^\infty 6 e^{-6 t} dt ?
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